Some INTERPOLATION quadrature formulas for the evaluation of Cauchy type integrals and singular integrals of special form

USSR Computational Mathematics and Mathematical Physics ◽

10.1016/0041-5553(71)90085-1 ◽

1971 ◽

Vol 11 (6) ◽

pp. 292-303 ◽

Author(s):

G.N. Pykhteev

Keyword(s):

Special Form ◽

Singular Integrals ◽

Quadrature Formulas ◽

Cauchy Type ◽

Cauchy Type Integrals

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Coefficient evaluation and error estimation 0f interpolation quadrature formulas for the simplest cauchy-type integrals and singular integrals along an open contour

USSR Computational Mathematics and Mathematical Physics ◽

10.1016/0041-5553(72)90044-4 ◽

1972 ◽

Vol 12 (3) ◽

pp. 219-232

Author(s):

G.N. Pykhteev

Keyword(s):

Error Estimation ◽

Singular Integrals ◽

Quadrature Formulas ◽

Cauchy Type ◽

Cauchy Type Integrals ◽

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Optimal quadrature formulas for Cauchy type singular integrals in Sobolev space

Applied Mathematics and Computation ◽

10.1016/j.amc.2015.04.066 ◽

2015 ◽

Vol 263 ◽

pp. 302-314

Author(s):

Kh.M. Shadimetov ◽

A.R. Hayotov ◽

D.M. Akhmedov

Keyword(s):

Sobolev Space ◽

Singular Integrals ◽

Quadrature Formulas ◽

Cauchy Type ◽

Optimal Quadrature ◽

Optimal Quadrature Formulas

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Quadrature formulas of maximum algebraic accuracy for cauchy type integrals with complex exponents of the Jacobi weight function

Mechanics of Solids ◽

10.3103/s002565441206012x ◽

2012 ◽

Vol 47 (6) ◽

pp. 695-699 ◽

Author(s):

A. V. Saakyan

Keyword(s):

Weight Function ◽

Quadrature Formulas ◽

Cauchy Type ◽

Jacobi Weight ◽

Cauchy Type Integrals

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Optimal quadrature formulas with derivatives for Cauchy type singular integrals

Applied Mathematics and Computation ◽

10.1016/j.amc.2017.09.009 ◽

2018 ◽

Vol 317 ◽

pp. 150-159

Author(s):

D.M. Akhmedov ◽

A.R. Hayotov ◽

Kh.M. Shadimetov

Keyword(s):

Singular Integrals ◽

Quadrature Formulas ◽

Cauchy Type ◽

Optimal Quadrature ◽

Optimal Quadrature Formulas

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Modified gauss-jacobi quadrature formulas for the numerical evaluation of cauchy type singular integrals

BIT Numerical Mathematics ◽

10.1007/bf01933113 ◽

1974 ◽

Vol 14 (1) ◽

pp. 14-21 ◽

Author(s):

M. M. Chawla ◽

T. R. Ramakrishnan

Keyword(s):

Numerical Evaluation ◽

Singular Integrals ◽

Quadrature Formulas ◽

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Approximate evaluation of cauchy type integrals and singular integrals with logarithmic singularities

USSR Computational Mathematics and Mathematical Physics ◽

10.1016/0041-5553(74)90104-9 ◽

1974 ◽

Vol 14 (3) ◽

pp. 93-100

Author(s):

G.N. Pykhteev

Keyword(s):

Singular Integrals ◽

Cauchy Type ◽

Approximate Evaluation ◽

Cauchy Type Integrals ◽

Logarithmic Singularities

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Construction of optimal quadrature formulas with derivatives for Cauchy type singular integrals in the Sobolev space

Uzbek Mathematical Journal ◽

10.29229/uzmj.2020-1-1 ◽

2020 ◽

Vol 2020 (1) ◽

pp. 4-9

Author(s):

D.M. Akhmedov

Keyword(s):

Sobolev Space ◽

Singular Integrals ◽

Quadrature Formulas ◽

Cauchy Type ◽

Optimal Quadrature ◽

Optimal Quadrature Formulas

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Cauchy-type integrals in domains with smooth boundary

Journal of Soviet Mathematics ◽

10.1007/bf01463198 ◽

1989 ◽

Vol 44 (6) ◽

pp. 866-867

Author(s):

V. I. Morkunas

Keyword(s):

Smooth Boundary ◽

Cauchy Type ◽

Cauchy Type Integrals

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3-D Cauchy-type integrals for terrain correction of gravity and gravity gradiometry data

Geophysical Journal International ◽

10.1093/gji/ggt120 ◽

2013 ◽

Vol 194 (1) ◽

pp. 249-268 ◽

Author(s):

Michael S. Zhdanov ◽

Xiaojun Liu

Keyword(s):

Terrain Correction ◽

Cauchy Type ◽

Gravity Gradiometry ◽

Cauchy Type Integrals

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Approximation of cauchy-type integrals in Jordan domains

Ukrainian Mathematical Journal ◽

10.1007/bf01061441 ◽

1993 ◽

Vol 45 (6) ◽

pp. 890-917 ◽

Author(s):

A. I. Stepanets

Keyword(s):

Cauchy Type ◽

Cauchy Type Integrals

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